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Sagot :
You simply have to take the linear equation form (ax + by = c) and solve for y. So you get:
by = c - ax
y = c/b - ax/b
Since c/b will be a constant, you can replace it with any variable (i.e. b), and so that represents the y-intercept and a/b will also be a constant, so that can also be replaced by any variable (i.e. m), and it represents the slope.
by = c - ax
y = c/b - ax/b
Since c/b will be a constant, you can replace it with any variable (i.e. b), and so that represents the y-intercept and a/b will also be a constant, so that can also be replaced by any variable (i.e. m), and it represents the slope.
Arithmetic operations can be used to change linear equations in form ax+by=c to y=mx+b form and vice versa and this can be determined by simple subtraction and division operation.
Given :
ax + by = c
y = mx + c
The following steps can be used to change the linear equation in form (ax+by=c) to (y=mx+b) form:
Step 1 - Write the equation.
ax + by = c
Step 2 - Subtract ax from both the sides in the above equation.
ax + by - ax = c - ax
by = c - ax
Step 3 - Divide by 'b' from both sides in the above equation.
[tex]y = \dfrac{-a}{b}x+\dfrac{c}{b}[/tex]
By following the above steps equation (ax + by = c) can be converted into (y = mx + c).
The following steps can be used to change linear equation in form (y = mx + c) to (ax + by = c) form:
Step 1 - Write the equation.
y = mx + c
Step 2 - Subtract mx from both sides in the above equation.
y - mx = c + mx -mx
y - mx = c
By following the above steps equation (y = mx +c) can be converted into (ax + by = c).
For more information, refer to the link given below:
https://brainly.com/question/13101306
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